一种基于熵权法理论的水准网平差定权方法

A Method for Weight Determination of Leveling Net Adjustment Based on Entropy Weight Method

在测绘工程中对于水准网平差定权问题分别为按照距离千米数、测站数给水准网观测值定权。然而,对于复杂的地形地势,两种方法都不能很好地区分地形起伏情况。为此,本文提出了一种基于熵权理论的赋权方法,目的是在定权时充分考虑地形信息,对距离千米数和测站数所占权重做了新的拟定,得到更合理的权系数矩阵。最后,通过实例试算分析,结果表明:提出的熵权理论的定权方法比常用方法的精度更高,且具有统计学意义,有良好的应用价值。

The weight of leveling net adjustment can be determined according to the distance kilometers and the number of stations in surveying and mapping engineering..However,for complex topography,the two commonly used methods cannot distinguish the topographic relief well.This paper proposes a weighting method based on the entropy weight theory to improve the two commonly used methods.This method takes the topographic information into full consideration in the weight determination,makes a new determination of the weight of distance kilometers and stations,and obtains a more reasonable weight coefficient matrix.Finally,the example trial calculation and the comparison analysis,show that the weight determination method based on the entropy weight theory proposed in this study has higher accuracy than the common methods and it has statistical significance,good promotion and application value.